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Pachacha [2.7K]
2 years ago
6

Lynn Ally, owner of a local Subway shop, loaned $44,000 to Pete Hall to help him open a Subway franchise. Pete plans to repay Ly

nn at the end of 8 years with 10% interest compounded semiannually. How much will Lynn receive at the end of 8 years?
Mathematics
1 answer:
Molodets [167]2 years ago
7 0

Answer:

..

Step-by-step explanation:

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A school purchases calculators from a store for six dollars each. Create an equation that represents the total cost, use d for d
Rasek [7]

Answer:

Step-by-step explanation:

6c x 6d= 36d

7 0
3 years ago
Read 2 more answers
g Using calculus and the SDT (then FDT if necessary), find all global and local maximum and minimums given the function f(x) = x
iren [92.7K]

Answer:

S_{1 } (x,y) = (0.333, 0.815) (Absolute minimum) and S_{2} (x,y) = (-1, 2) (Absolute maximum)

Step-by-step explanation:

The critical points are determined with the help of the First Derivative Test:

f'(x) = 3\cdot x ^{2} +2\cdot x -1

3\cdot x^{2} + 2\cdot x - 1 = 0

The critical points are:

x_{1} \approx 0.333 and x_{2} \approx -1

The Second Derivative Test offers a criterion to decide whether critical point is an absolute maximum and whether is an absolute minimum:

f''(x) = 6\cdot x +2

f''(x_{1}) = 3.998 (Absolute minimum)

f''(x_{2}) = -4 (Absolute maximum)

The critical points are:

S_{1 } (x,y) = (0.333, 0.815) (Absolute minimum) and S_{2} (x,y) = (-1, 2) (Absolute maximum)

7 0
3 years ago
James earns $584 per week. If he receives a pay increase of 7.5%, find:
liberstina [14]
So the pay after the increase is 4380 so subtract 4380-584 which equals 3796.
3 0
3 years ago
Read 2 more answers
The gravitational attraction betweentwo bodies varies inversely as thesquare of the distance between them.If the force of attrac
Sliva [168]

The force for the case 1 is 64 pounds and the distance is 9 feet, it is:

\begin{gathered} \frac{k}{9^2}=64 \\ k=5184 \end{gathered}

Now, if the force is 36 pounds, let solve for the distance:

\begin{gathered} \frac{k}{r^2}=36 \\ \frac{5184}{r^2}=36 \\ r^2=144 \\ r=12 \end{gathered}

Hence the answer is 12 feet.

3 0
1 year ago
Cos (x + π/ 3) + cos (x - π/ 3) = 1 Solve for "x" on the interval [0, 2pi)
kenny6666 [7]
\bf cos\left( x+\frac{\pi }{3} \right)+cos\left( x-\frac{\pi }{3} \right)=1\\\\
-----------------------------\\\\\
[cos(x)cos\left( \frac{\pi }{3} \right)\underline{-sin(x)sin\left( \frac{\pi }{3} \right)}] 
+ [cos(x)cos\left( \frac{\pi }{3} \right)\underline{+sin(x)sin\left( \frac{\pi }{3} \right)}]=1
\\\\\\

\bf cos(x)cos\left( \frac{\pi }{3} \right)+cos(x)cos\left( \frac{\pi }{3} \right)=1\implies 2cos(x)cos\left( \frac{\pi }{3} \right)=1
\\\\\\
2cos(x)\cdot \cfrac{1}{2}=1\implies cos(x)=1\implies \measuredangle x=cos^{-1}(1)
\\\\\\
\measuredangle x = 
\begin{cases}
0\\
2\pi 
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8 0
4 years ago
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